Spin resonance in Luttinger liquid with spin-orbit interaction

Abstract

Spin-orbit interaction in quantum wires leads to a spin resonance at low temperatures, even in the absence of an external dc magnetic field. We study the effect of electron-electron interaction on the resonance. This interaction is strong in quantum wires. We show that the electron-electron interaction changes the shape of the resonance curve and produces an additional cusp at the plasmon frequency. However, except for very strong electron-electron interaction these changes are weak since this interaction by itself does not break the spin-rotation symmetry that is violated weakly by the spin-orbit interaction and external magnetic field.

8 pages (including 3 pages of supplementary material), 2 figures

References in corpus (9)

• Universal theory of nonlinear Luttinger liquids
• Dynamic response of one-dimensional interacting fermions
• Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
• Spin-orbital effects in magnetized quantum wires and spin chains
• Spin-charge separation in one-dimensional fermion systems beyond the Luttinger liquid theory
• Competing effects of interactions and spin-orbit coupling in a quantum wire
• The fate of 1D spin-charge separation away from Fermi points
• Spin-charge coupling in quantum wires at zero magnetic field
• Spin Resonance and dc Current Generation in a Quantum Wire

Cited by in corpus (9)

• The Theory of Spin Noise Spectroscopy: A Review
• Importance of Spin-Orbit Coupling in Organic BEDT-TTF and BEDT-TSF Salts
• Image-potential-induced spin-orbit interaction in one-dimensional electron systems
• Charge transport of a spin-orbit-coupled Luttinger liquid
• Hydrodynamics of interacting spinons in the magnetized spin-$1/2$ chain with the uniform Dzyaloshinskii-Moriya interaction
• Dynamic transport in a quantum wire driven by spin-orbit interaction
• Spin-dependent electron-electron interaction in Rashba materials
• Spin Correlations in Quantum Wires
• Synergetic effect of spin-orbit coupling and Zeeman splitting on the optical conductivity in the one-dimensional Hubbard model